ENGLISH

Axiomatic geometry

By Lee , John M

Book information

Publisher
American Mathematical Society
Year
2013
ISBN
978-0-8218-8478-2, 0821884786
Language
english
Format
PDF
Filesize
14 MB (14513993 bytes)
Series
The Sally series; Pure ans applied undergraduate texts 21
Pages
469\489
Library
kolxo3
Time added
2019-04-25 18:00:00
Axioms.;Geometry.;Axiomatik;Geometrie

Description

Content: Euclid Incidence geometry Axioms for plane geometry Angles Triangles Models of neutral geometry Perpendicular and parallel lines Polygons Quadrilaterals The Euclidean parallel postulate Area Similarity Right triangles Circles Circumference and circular area Compass and straightedge constructions The parallel postulate revisited Introduction to hyperbolic geometry Parallel lines in hyperbolic geometry Epilogue: Where do we go from here? Hilbert's axioms Birkhoff's postulates The SMSG postulates The postulates used in this book The language of mathematics Proofs Sets and functions Properties of the real numbers Rigid motions: Another approach References Index

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